Advances in inequalities from probability theory and statistics

This is the first in a series of research monographs that focus on the research, development and use of inequalities in probability and statistics. All of the papers have been peer refereed and this first edition covers a range of topics that include both survey material of published work as well as new results appearing in print for the first time.

N.S. Barnett and S.S. DragomirP. Cerone and S.S. DragomirFriedrich Liese and Igor VajdaMohamed El MachkouriB.G. PachpatteR. Sharma and R.G. Shandil and S. Devi and S. Ram and G. Kapoor and N.S. BarnettInder Jeet TanejaInder Jeet Taneja and Pranesh KumarKonstantinos Zografos

Preface	p. vii
A Survey of Recent Inequalities for P-Divergences of Discrete Probability Distributions	p. 1
A Survey on Bounds for the Gini Mean Difference	p. 81
f-Divergences: Sufficiency, Deficiency and Testing of Hypotheses	p. 113
Hoeffding's Inequality for Spatial Processes	p. 151
New Čeby¿ev Like Integral Inequalities	p. 155
Some Bounds on the Sample Variance in Terms of the Mean and Extreme Values	p. 163
On Mean Divergence Measures	p. 169
On Some Inequalities Among Means and Divergence Measures: A Survey	p. 187
On Some Beta Generated Distributions and their Maximum Entropy Characterization: The Beta-Weibull Distribution	p. 203
Index	p. 225

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